NurYMuhammad02 NurYMuhammad02
  • 09-03-2020
  • Mathematics
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Find the total surface area of the following cone. Leave your answer in terms of pi.

Find the total surface area of the following cone Leave your answer in terms of pi class=

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PollyP52 PollyP52
  • 09-03-2020

Answer:

12π cm^2.

Step-by-step explanation:

First work out the slant height using Pythagoras:

l^2 =  (2√3)^2 + 2^2

l^2 = 12 + 4 = 16

l = 4 cm.

Area of the base =  πr^2 =  π 2^2

Total surface area =  π* 2* 4 +  π(2)^2

= 8 π + 4 π

= 12π cm^2.

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